Cobordism-valued intersection theory on $\overline{\mathcal{M}}_{0,n}$
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866915833052135424 |
|---|---|
| author | Ellis-Bloor, Benjamin |
| author_facet | Ellis-Bloor, Benjamin |
| contents | We calculate the genus zero cobordism-valued Gromov-Witten invariants of a point by refining the string equation on $\overline{\mathcal{M}}_{0,n}$ from the Chow ring to algebraic cobordism. This gives inductive formulas for cobordism-valued psi-class intersections on $\overline{\mathcal{M}}_{0,n}$, and in particular the cobordism classes $[\overline{\mathcal{M}}_{0,n}]$, and for their images in $K$-theory. Explicit formulas are given up to $n = 8$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_03829 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Cobordism-valued intersection theory on $\overline{\mathcal{M}}_{0,n}$ Ellis-Bloor, Benjamin Algebraic Geometry Algebraic Topology K-Theory and Homology 14H10 (Primary) 14C17 55N22 (Secondary) We calculate the genus zero cobordism-valued Gromov-Witten invariants of a point by refining the string equation on $\overline{\mathcal{M}}_{0,n}$ from the Chow ring to algebraic cobordism. This gives inductive formulas for cobordism-valued psi-class intersections on $\overline{\mathcal{M}}_{0,n}$, and in particular the cobordism classes $[\overline{\mathcal{M}}_{0,n}]$, and for their images in $K$-theory. Explicit formulas are given up to $n = 8$. |
| title | Cobordism-valued intersection theory on $\overline{\mathcal{M}}_{0,n}$ |
| topic | Algebraic Geometry Algebraic Topology K-Theory and Homology 14H10 (Primary) 14C17 55N22 (Secondary) |
| url | https://arxiv.org/abs/2603.03829 |